Question at position 12 Given the following variable definitions for X, Y and Z: X = [ 1 2 3 4]; Y = [10 10 10 10]; Z = 2; Which of the following would result in an error when executed? You can select multiple answers for this question. X-ZX*ZX*YX^ZX+Y

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Question at position 12 Given the following variable definitions for X, Y and Z: X = [ 1 2 3 4]; Y = [10 10 10 10]; Z = 2; Which of the following would result in an error when executed? You can select multiple answers for this question. X-ZX*ZX*YX^ZX+Y

BlackTom AI · Accepted Answer

Here is the question restated along with all answer options for clarity.
Question: Given X = [1 2 3 4], Y = [10 10 10 10], Z = 2, which of the following would result in an error when executed? You can select multiple answers.
Answer options: ["X-Z", "X*Z", "X*Y", "X^Z", "X+Y"]
Correct answers (from the provided data): ["X*Y", "X^Z"]

Now evaluate each option one by one, explaining why it would or would not produce an error in a typical array/matrix context like MATLAB/Octave, which seems to be the implied environment here.

Option 1: X-Z
This is a subtraction of a vector by a scalar. Subtracting a scalar from each element of a vector is standard and well-defined, yielding [1-2, 2-2, 3-2, 4-2] = [-1, 0, 1, 2]. Since the operation is element-wise with compatible shapes, this would not produce an error.

Option 2: X*Z
Here Z = 2 is a scalar. In many matrix languages, multiplying a row vector by a scalar on the right, i.e., X * 2, would require inner-dimension alignment (1x4 times 1x1) and can raise a dimension-mismatch error in strict matrix-multiply semantics. Some environments allow scalar multiplication but treat X * 2 as invalid due to dimension rules, while 2 * X is unambiguous scalar multiplication. Depending on the exact rules of the interpreter, X*Z could be an error due to dimension mismatch, or it could be treated as scalar multiplication if the language supports it on the right. In the given answer key, X*Y and X^Z are flagged as errors, suggesting X*Z is considered non-error here.

Option 3: X*Y
X and Y are both 1x4 row vectors. The operation X * Y typically implies matrix multiplication, which would require the inner dimensions to agree (4 in X vs 1 in Y if Y is treated as 1x4). This does not align for standard matrix multiplication, so this would result in an error in environments enforcing strict matrix product rules. The provided answer key marks this as an error, so we align with that interpretation.

Option 4: X^Z
The ^ operator denotes matrix power, which is defined for square matrices. X is 1x4, not square, so attempting X^Z with Z = 2 would attempt to raise a non-square 1x4 object to a power, which is undefined and would produce an error in standard matrix-powering contexts. The answer key marks this as an error, consistent with standard rules.

Option 5: X+Y
Addition of two vectors of the same size is standard element-wise addition, producing [1+10, 2+10, 3+10, 4+10] = [11, 12, 13, 14]. Since the shapes match, this is a valid operation and would not produce an error.

Summary of error expectations based on the provided key:
- Errors: X*Y, X^Z
- Non-errors: X-Z, X*Z (depending on language rules, but per the key, X*Z is not treated as an error here), X+Y

Note on potential confusion:
Different programming environments treat scalar multiplication and matrix multiplication with slightly different rules. If you are using MATLAB-like syntax, the distinction between element-wise operations (often with a dot, e.g., X .* Y) and standard matrix operations (X * Y) becomes important. The given key assumes X*Y is invalid under strict matrix multiplication and X^Z is invalid due to non-square input, while X-Z and X+Y are valid, and X*Z is acceptable under the environment’s rules.

Question at position 12 Given the following variable definitions for X, Y and Z: X = [ 1 2 3 4]; Y = [10 10 10 10]; Z = 2; Which of the following would result in an error when executed? You can select multiple answers for this question. X-ZXZXYX^ZX+Y

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